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145573664 = 2547151641
BaseRepresentation
bin10001010110101…
…00011100100000
3101010220220112012
420223110130200
5244231324124
622240052052
73415233005
oct1053243440
9333826465
10145573664
1175199715
1240904028
132420c282
14154958ac
15cba7e0e
hex8ad4720

145573664 has 48 divisors (see below), whose sum is σ = 295094016. Its totient is φ = 70656000.

The previous prime is 145573663. The next prime is 145573667. The reversal of 145573664 is 466375541.

145573664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (145573663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226784 + ... + 227424.

It is an arithmetic number, because the mean of its divisors is an integer number (6147792).

Almost surely, 2145573664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145573664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147547008).

145573664 is an abundant number, since it is smaller than the sum of its proper divisors (149520352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145573664 is a wasteful number, since it uses less digits than its factorization.

145573664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 841 counting only the distinct ones).

The product of its digits is 302400, while the sum is 41.

The square root of 145573664 is about 12065.3911664728. The cubic root of 145573664 is about 526.0507018358.

The spelling of 145573664 in words is "one hundred forty-five million, five hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 47 94 151 188 302 376 604 641 752 1208 1282 1504 2416 2564 4832 5128 7097 10256 14194 20512 28388 30127 56776 60254 96791 113552 120508 193582 227104 241016 387164 482032 774328 964064 1548656 3097312 4549177 9098354 18196708 36393416 72786832 145573664